Junyan Cao

activity

20122026

most citedNumerical dimension and a Kawamata-Viehweg-Nadel type vanishing theorem on compact Kähler manifolds

54 citations · 135 across the 21 of their papers we have counts for

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Showing 2012 · math.AGShow all

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math.AG2012★ 1 cited

Deformation of Kähler manifolds

Junyan Cao

It has been shown by Claire Voisin in 2003 that one cannot always deform a compact Kähler manifold into a projective algebraic manifold, thereby answering negatively a question rai…

math.AG2012★ 54 cited

Numerical dimension and a Kawamata-Viehweg-Nadel type vanishing theorem on compact Kähler manifolds

Junyan Cao

Let $X$ be a compact Kähler manifold and let $(L, φ)$ be a pseudo-effective line bundle on $X$ . We first define a notion of numerical dimension of pseudo-effective line bundles wit…